Existence and multiplicity of solutions for sublinear ordinary differential equations at resonance
Using a $Z_2$ type index theorem, we show the existence and multiplicity of solutions for the sublinear ordinary differential equation $$ \mathcal{L} u(t)=\mu u(t)+W_u(t,u(t)),\quad 0\leq t\leq L $$ with suitable periodic or boundary conditions. Here $\mathcal{L}$ is a linear positive selfadjo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/125/abstr.html |